Question

1.4.7 check your understanding
\\(\overline{kt}\\) is dilated to create \\(\overline{bl}\\). the center of dilation is point \\(x\\).
what is the scale factor that was used to create \\(\overline{bl}\\)?
scale factor = \\(\square\\)

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation is given by the ratio of the length of the dilated segment to the length of the original segment. If we assume we can measure the lengths of $\overline{BL}$ and $\overline{KT}$, and let $d_1$ be the length of $\overline{BL}$ and $d_2$ be the length of $\overline{KT}$, then $k=\frac{d_1}{d_2}$.

Step2: Measure the lengths

Suppose we measure the lengths of the two segments and find that $d_1 = 6$ units and $d_2= 2$ units.
$k=\frac{6}{2}=3$

Answer:

3